Question

A cube is built using 64 cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is ___________

• A.
  56
• B.
  64
• C.
  72
• D.
  96

Answer 1

The correct option is D

96
(d)
Original surface area
$=6{\left(4\right)}^2=96$

If corner cubes are removed, three exposed surfaces are removed which will create 3 new surfaces in original large cube.

So surface area will remain unchanged, i.e. 96